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Finding the Third Proportional to 302,761.13 and 636,886.13

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Solution

The third proportional to 302,761.13 and 636,886.13 is: 1,339,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,761.13 : 636,886.13 = 636,886.13 : x
  2. Step 2: Convert to fraction form
    302,761.13/636,886.13 = 636,886.13/x
  3. Step 3: Cross multiply
    302,761.13x = 636,886.13 × 636,886.13
  4. Step 4: Simplify right side
    302,761.13x = 405,623,936,217.52
  5. Step 5: Solve for x
    x = 405,623,936,217.52/302,761.13
  6. Step 6: Final answer
    x = 1,339,749.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.